Wayne made some chili with $5\frac{3}{5}$ cans of black beans and $3\frac{4}{5}$ cans of pinto beans. How many cans of beans did Wayne use in all? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_$ cans

Full solution

Q. Wayne made some chili with

5\frac{3}{5}

cans of black beans and

3\frac{4}{5}

cans of pinto beans. How many cans of beans did Wayne use in all?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_

cans

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition. $\newline$ $5 \frac{3}{5} = (5 \times 5 + 3)/5 = \frac{28}{5}$ $\newline$ $3 \frac{4}{5} = (3 \times 5 + 4)/5 = \frac{19}{5}$
Add Improper Fractions: Add the two improper fractions. $\frac{28}{5} + \frac{19}{5} = \frac{28 + 19}{5} = \frac{47}{5}$
Convert Back to Mixed Number: Convert the improper fraction back to a mixed number to find the total cans used. $\frac{47}{5} = 9 \frac{2}{5}$